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Finding the Fourth Proportional to 9,107.73, 13,656.12 and 6,177.15

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Solution

The fourth proportional to 9,107.73, 13,656.12 and 6,177.15 is: 9,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.73 : 13,656.12 = 6,177.15 : x
  2. Step 2: Convert to fraction form
    9,107.73/13,656.12 = 6,177.15/x
  3. Step 3: Cross multiply
    9,107.73x = 13,656.12 × 6,177.15
  4. Step 4: Simplify right side
    9,107.73x = 84,355,901.66
  5. Step 5: Solve for x
    x = 84,355,901.66/9,107.73
  6. Step 6: Final answer
    x = 9,262.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.